#include using namespace std; using ll = long long; using ld = long double; using pll = pair; using tlll = tuple; constexpr ll INF = 1LL << 60; template bool chmin(T& a, T b) {if (a > b) {a = b; return true;} return false;} template bool chmax(T& a, T b) {if (a < b) {a = b; return true;} return false;} ll safemod(ll A, ll M) {ll res = A % M; if (res < 0) res += M; return res;} ll divfloor(ll A, ll B) {if (B < 0) {return divfloor(-A, -B);} return (A - safemod(A, B)) / B;} ll divceil(ll A, ll B) {if (B < 0) {return divceil(-A, -B);} return divfloor(A + B - 1, B);} ll pow_ll(ll A, ll B) {if (A == 0 || A == 1) {return A;} if (A == -1) {return B & 1 ? -1 : 1;} ll res = 1; for (int i = 0; i < B; i++) {res *= A;} return res;} ll logfloor(ll A, ll B) {assert(A >= 2); ll res = 0; for (ll tmp = 1; tmp <= B / A; tmp *= A) {res++;} return res;} ll logceil(ll A, ll B) {assert(A >= 2); ll res = 0; for (ll tmp = 1; tmp < B; tmp *= A) {res++;} return res;} ll arisum_ll(ll a, ll d, ll n) { return n * a + (n & 1 ? ((n - 1) >> 1) * n : (n >> 1) * (n - 1)) * d; } ll arisum2_ll(ll a, ll l, ll n) { return n & 1 ? ((a + l) >> 1) * n : (n >> 1) * (a + l); } ll arisum3_ll(ll a, ll l, ll d) { assert((l - a) % d == 0); return arisum2_ll(a, l, (l - a) / d + 1); } template void unique(vector &V) {V.erase(unique(V.begin(), V.end()), V.end());} template void sortunique(vector &V) {sort(V.begin(), V.end()); V.erase(unique(V.begin(), V.end()), V.end());} #define FINALANS(A) do {cout << (A) << '\n'; exit(0);} while (false) template void printvec(const vector &V) {int _n = V.size(); for (int i = 0; i < _n; i++) cout << V[i] << (i == _n - 1 ? "" : " ");cout << '\n';} template void printvect(const vector &V) {for (auto v : V) cout << v << '\n';} template void printvec2(const vector> &V) {for (auto &v : V) printvec(v);} //* #include using namespace atcoder; //using mint = modint998244353; using mint = modint1000000007; //using mint = modint; //*/ template struct ConvexHullTrickDeque { private: deque> deq; bool need_sub(T a, T b, T a1, T b1, T a2, T b2) { if (a1 > a2) swap(a1, a2), swap(b1, b2); return __int128_t(a - a1) * (b2 - b1) > __int128_t(b - b1) * (a2 - a1); } public: void add_line(T a, T b) // 追加する直線の傾きが広義単調減少または広義単調増加 { if (deq.empty()) deq.emplace_back(make_pair(a, b)); else if (a <= deq.front().first) { if (a == deq.front().first && b >= deq.front().second) return; while ((int)deq.size() >= 2) { auto [a2, b2] = deq.front(); auto [a3, b3] = deq[1]; if (!need_sub(a2, b2, a, b, a3, b3)) deq.pop_front(); else break; } deq.emplace_front(make_pair(a, b)); } else if (deq.back().first <= a) { if (a == deq.back().first && b >= deq.back().second) return; while ((int)deq.size() >= 2) { auto [a2, b2] = deq[(int)deq.size() - 2]; auto [a3, b3] = deq.back(); if (!need_sub(a3, b3, a2, b2, a, b)) deq.pop_back(); else break; } deq.emplace_back(make_pair(a, b)); } else assert(false); } T get_min(T p) { int l = 0, r = (int)deq.size() - 1; while (r - l > 1) { int c = (l + r) / 2; auto [a1, b1] = deq[c - 1]; auto [a2, b2] = deq[c]; if (a1 * p + b1 > a2 * p + b2) l = c; else r = c; } auto [al, bl] = deq[l]; auto [ar, br] = deq[r]; return min(al * p + bl, ar * p + br); } T get_min_light_inc(T p) // クエリで問われる x 座標が広義単調増加 { while ((int)deq.size() >= 2) { auto [a1, b1] = deq[(int)deq.size() - 2]; auto [a2, b2] = deq.back(); if (a1 * p + b1 < a2 * p + b2) deq.pop_back(); else break; } auto [a, b] = deq.back(); return a * p + b; } T get_min_light_dec(T p) // クエリで問われる x 座標が広義単調減少 { while ((int)deq.size() >= 2) { auto [a1, b1] = deq.front(); auto [a2, b2] = deq[1]; if (a1 * p + b1 > a2 * p + b2) deq.pop_front(); else break; } auto [a, b] = deq.front(); return a * p + b; } }; int main() { int T; cin >> T; vector dp(100010); while (T--) { int X, A; cin >> X >> A; ConvexHullTrickDeque cht; dp[0] = 0; for (ll i = 1; i <= A; i++) { cht.add_line(-2 * (i - 1), (i - 1) * (i - 1) + dp[i - 1]); dp[i] = i * i + X + cht.get_min_light_inc(i); } ll ans = dp[A]; cout << ans << '\n'; } }